Details

analyze5.7s

Algorithm

sampling

Space saved by range analysis: 0.438596%

Space saved by search: 0.438596%

Guaranteed chance to sample good point: 0%

sample98.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
27.0ms	345×	body	80	invalid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 13.0b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
4.9b	(* x (- (* y z) (* t a)))
5.5b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* c t) (* i y))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c t) (* i y))
19.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* b (- (* c z) (* i a)))
22.0ms	(* j (- (* c t) (* i y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune272.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	71	25	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	25	97

Merged error: 8.2b

Counts

97 → 25

localize22.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (* c z))
4.9b	(* x (- (* y z) (* t a)))
5.2b	(* b (neg (* i a)))
6.2b	(* j (- (* c t) (* i y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* b (* c z))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (neg (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* b (* c z))
19.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (neg (* i a)))
21.0ms	(* j (- (* c t) (* i y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	445	484
1	2066	419
2	5002	419

prune242.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	20	24
Picked	1	0	1
Done	0	0	0
Total	102	23	125

Merged error: 7.0b

Counts

125 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

4.9b	(* x (- (* y z) (* t a)))
5.1b	(* (* b c) z)
5.2b	(* b (neg (* i a)))
6.2b	(* j (- (* c t) (* i y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* (* b c) z)
5.0ms	(* b (neg (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* (* b c) z)
6.0ms	(* b (neg (* i a)))
19.0ms	(* j (- (* c t) (* i y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	454	485
1	2196	420
2	5002	420

prune250.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	98	25	123

Merged error: 6.1b

Counts

123 → 25

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b	(* x (- (* y z) (* t a)))
5.1b	(* (* b c) z)
6.2b	(* j (- (* c t) (* i y)))
6.6b	(* a (* i b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* (* b c) z)
6.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* a (* i b))

series52.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* (* b c) z)
18.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* a (* i b))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	445	455
1	1920	385
2	5002	385

prune82.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	3	21	24
Picked	0	1	1
Done	0	0	0
Total	95	26	121

Merged error: 5.8b

Counts

121 → 26

Details

analyze5.7s

sample98.0ms

simplify80.0ms

prune6.0ms

localize20.0ms

rewrite23.0ms

series70.0ms

simplify49.0ms

prune272.0ms

localize22.0ms

rewrite23.0ms

series52.0ms

simplify59.0ms

prune242.0ms

localize22.0ms

rewrite25.0ms

series49.0ms

simplify62.0ms

prune250.0ms

localize23.0ms

rewrite23.0ms

series52.0ms

simplify50.0ms

prune82.0ms

regimes2.4s

bsearch2.0ms

Profiling